Let C be the set of complex numbers. Prove that the mapping `F:C to R` given by `f(z)=|z|, AA z in C,` is neither one-one nor onto.

Let C be the set of complex numbers . Prove that the mapping f : C rarr R given by f(z) = |z| , AA z in C , is neither one - one nor onto .

Show that the function f :R rarr R, given by f(x) = cos x, AA x in R is neither one-one nor onto.

Prove that the mapping f: RR rarr RR defined by , f(x)=x^(2)+1 for all x in RR is neither one-one nor onto.

Show that the modulus function f: R rarr R given by f(x) = |x| , is neither one-one nor onto.

Show that the function f: RvecR given by f(x)=cosxfora l lx in R , is neither one-one nor onto

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Show that f: R->R , given by f(x)=x-[x] , is neither one-one nor onto.

Show that the modulus function f:R rarr R , given by f(x)=|x| is neither one-one nor onto.